On a constrained reaction-diffusion system related to multiphase problems

الأصل · EN

We solve and characterize the Lagrange multipliers of a reaction-diffusion system in the Gibbs simplex of Rⁿ⁺¹ by considering strong solutions of a system of parabolic variational inequalities in Rⁿ. Exploring properties of the two obstacles evolution problem, we obtain and approximate a N-system involving the characteristic functions of the saturated and/or degenerated phases in the nonlinear reaction terms. We also show continuous dependence results and we establish sufficient conditions of non-degeneracy for the stability of those phase subregions.